Equation of state for weakly coupled quantum plasmas

We calculate thermodynamic properties for a dense hydrogen plasma and a quantum electron gas using thermodynamic Green’s function techniques. Our perturbation approach is appropriate to give reliable results in the weak coupling regime. In particular, the contribution of the exchange term of the order $e^4$ is fully included for the nondegenerate case as well as for the dense highly degenerate quantum region. We compare our results for the equation of state with data obtained by different numerical simulations.